Tachyon Logamediate inflation on the brane

TL;DR

This paper investigates tachyon logamediate inflation within the RSII braneworld framework, deriving analytical slow-roll parameters and showing consistency with Planck 2015 observational data for spectral index and tensor-to-scalar ratio.

Contribution

It provides an analytical study of tachyon logamediate inflation on the brane, comparing predictions with recent observational data and confirming its viability.

Findings

Spectral index and tensor-to-scalar ratio match Planck 2015 data

Analytical expressions for slow-roll parameters derived

Model remains consistent with observational constraints

Abstract

According to a Barrow's solution for the scale factor of the universe, the main properties of the tachyon inflation model in the framework of RSII braneworld are studied. Within this framework the basic slow-roll parameters are calculated analytically. We compare this inflationary scenario against the latest observational data. The predicted spectral index and the tensor-to-scalar fluctuation ratio are in excellent agreement with those of {\it Planck 2015}. The current predictions are consistent with those of viable inflationary models.